Answer:
30
Step-by-step explanation:
Students performing in the school concert=40%
let the students in the class be x
hence 40% of the class=12
where 40%=40/100=4/10=2/5 and of means multiplication
(2/5)*x=12
multiplying both sides by 5/2
hence the equation becomes
x=12*5/2
x=60/2
x=30
so the total students in the class are 30
XY smaller than XZ smaller than YZ
The greatest side is opposite to the greatest angle, and the smallest side is opposite to the smallest angle
Answer: 
Step-by-step explanation:
The area of a rectangle can be calculated with the formula:
l: the length of the rectangle.
w: the width of the rectangle.
The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.
Knowing that the dimensions of the wall are 
by 
, its area is:
As they are planning that the dimensions of the mural be 
by 
, its area is:
Then the area of the remaining wall after the mural has been painted is:
Answer:
39
Step-by-step explanation:
Given the function :
h(t) = t² + 2
From t = 5 to t = 8
when, t = 5
h(5) = 5² + 2
h(5) = 25 + 2
h(t) at t = 5 ; equals 27
when, t = 8
h(5) = 8² + 2
h(5) = 64 + 2
h(t) at t = 8 ; equals 66
Net Change :
h(8). - h(5)
66 - 27 = 39
If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
